Abnormal extremal problems and optimality conditions
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Publication:4374202
DOI10.1016/S0362-546X(97)00008-4zbMath0894.90133OpenAlexW2010005479MaRDI QIDQ4374202
Publication date: 19 August 1998
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00008-4
Lagrange multiplierssecond-order necessary conditionsabnormal point2-normal mappingindex of quadratic form
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Cites Work
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- Perturbations of extremal problems with constraints and necessary optimality conditions
- Necessary extremum conditions for smooth anormal problems with equality- and inequality-type constraints
- THE LEVEL SET OF A SMOOTH MAPPING IN A NEIGHBORHOOD OF A SINGULAR POINT, AND ZEROS OF A QUADRATIC MAPPING
- Necessary conditions for an extremum in an abnormal problem with equality constraints
- One more condition for a conditional extremum
- Differential Topology
- On the mapping of 𝑛 quadratic forms